Publications

Published and accepted papers

•  S. Cruz-Blázquez, A. DelaTorre and D. Ruiz: "Qualitative Properties of Singular Solutions to the Fractional Yamabe Problem." Discrete and Continuous Dynamical Systems. Vol. 43, No. 11, pp. 4027-4041  (November 2023). DOI: 10.3934/dcds.2023077. Available at arXiv:2207.09886

• W. Ao, A. DelaTorre, M.d.M González: "Symmetry and symmetry breaking for the fractional Caffarelli-Kohn-Nirenberg inequality" Journal of Functional Analysis. Vol 282 (2022), no.11 DOI: 10.1016/j.jfa.2022.109438. Available at arXiv:2010.06004

• A. DelaTorre, M.d.M González, A. Hyder and L. Martinazzi: "Concentration phenomena for the fractional Q-curvature equation in dimension 3." Journal of the London Mathematical Society, Vol. 104, 423–451 (2021). DOI: 10.1112/jlms.12437  Available at arXiv:1812.10565.  

• A. DelaTorre, G. Mancini and A. Pistoia: "Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation. "Advanced Nonlinear Studies, Vol 20 Issue 4, (2020). DOI: 10.1515/ans-2020-2103. Available at arXiv:2005.09909.

• H. Chan and A. DelaTorre: "An analytic construction of singular solutions related to a critical Yamabe problem." Communications in Partial Differential Equations, Vol. 45, Issue 11, (2020) .   DOI: 10.1080/03605302.2020.1784209. Available at arXiv: 1912.10352

• A. DelaTorre and G. Mancini: "Improved Adams-type inequalities and their extremals in dimension 2m." Communications in Contemporary Mathematics (CCM), Vol. 23, No. 5 (2020) 2050043. DOI: 10.1142/S0219199720500431. Available at arXiv:1711.00892.

• W. Ao, H. Chan, A. DelaTorre, M. Fontelos, M.d.M González and J. Wei: "ODE methods in non-local equations." Journal of Mathematical Study, Vol. 53, No. 4, pp. 370-401,(2020),  DOI: 10.4208/jms.v53n4.20.01.  Aavailable at arXiv:1910.14512  

• A. DelaTorre, A. Hyder, L. Martinazzi and Y. Sire: "The nonlocal mean-field equation on an interval". Communications in Contemporary Mathematics Vol. 22, No. 5 (2020) 1950028 (19 pages). DOI: 10.1142/S0219199719500287. Available at arXiv 1812.02165

• W. Ao, H. Chan, A. DelaTorre, M. Fontelos, M.d.M González and J. Wei. "On higher-dimensional singularities for the fractional Yamabe problem: A nonlocal Mazzeo- Pacard program". Duke Math Journal Volume 168, Number 17 (2019), 3297-3411. DOI: 10.1215/00127094-2019-0034. Available at arXiv:1802.07973.

• W. Ao, A. DelaTorre, M.d.M González and J. Wei: "A gluing approach for the fractional Yamabe problem with isolated singularities". Journal für die reine und angewandte Mathematik  (Crelle journal), 2020 (763), 25-78. DOI: 10.1515/crelle-2018-0032.  Avalaible at arXiv:1609.08903.

• A. DelaTorre and M.d.M González: "Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry." Revista Matemática Iberoamericana 34 (2018), no. 4, DOI 10.4171/rmi/1038.  Available at arXiv:1504.03493.

• A. DelaTorre, M. del Pino, M.d.M González and J. Wei: "Delaunay-type singular solutions for the fractional Yamabe problem." Mathematische Annalen (2017),1-2, DOI: 597-626 10.1007/s00208-016-1483-1. Available at arXiv:1510.0850.

Preprints 

• H. Chan and A. DelaTorre: "From fractional Lane-Emden-Serrin equation -- existence, multiplicity and local behaviors via classical ODE -- to fractional Yamabe metrics with singularity of "maximal" dimension." Preprint. Available at arXiv:2109.05647.

• A. DelaTorre, E. Parini: "Uniqueness of least energy solutions of the fractional Lane-Emden equation in the ball." Preprint. Available at arXiv:2310.02228

• A. DelaTorre, G. Mancini and A. Pistoia: "Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation." Preprint.  Available at arXiv: 2404.14119.

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